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In this paper, we consider the performance of a random-access time-slotted wireless network with a single access point and a mix of half- and full- duplex stations. Full-duplex transmissions involve data transmitted simultaneously in both…

Information Theory · Computer Science 2014-07-15 Vaneet Aggarwal , N. K. Shankaranarayanan

The total communicability of a network (or graph) is defined as the sum of the entries in the exponential of the adjacency matrix of the network, possibly normalized by the number of nodes. This quantity offers a good measure of how easily…

Social and Information Networks · Computer Science 2015-08-21 Francesca Arrigo , Michele Benzi

The fully dynamic transitive closure problem asks to maintain reachability information in a directed graph between arbitrary pairs of vertices, while the graph undergoes a sequence of edge insertions and deletions. The problem has been…

Data Structures and Algorithms · Computer Science 2020-02-04 Kathrin Hanauer , Monika Henzinger , Christian Schulz

Recent advances in dynamic graph processing have enabled the analysis of highly dynamic graphs with change at rates as high as millions of edge changes per second. Solutions in this domain, however, have been demonstrated only for…

Data Structures and Algorithms · Computer Science 2023-11-14 Juntong Luo , Scott Sallinen , Matei Ripeanu

A nonsplit graph is a directed graph where each pair of nodes has a common incoming neighbor. We show that the radius of such graphs is in $O(\log \log n)$, where $n$ is the number of nodes. We then generalize the result to products of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-23 Matthias Függer , Thomas Nowak , Kyrill Winkler

Broadcast networks allow one to model networks of identical nodes communicating through message broadcasts. Their parameterized verification aims at proving a property holds for any number of nodes, under any communication topology, and on…

Logic in Computer Science · Computer Science 2023-06-22 Nathalie Bertrand , Patricia Bouyer , Anirban Majumdar

In this work, we face the issue of achieving an efficient dynamic mapping in vehicular networking scenarios, i.e., to obtain an accurate estimate of the positions and trajectories of connected vehicles in a certain area. State of the art…

Networking and Internet Architecture · Computer Science 2019-10-17 Federico Mason , Marco Giordani , Federico Chiariotti , Andrea Zanella , Michele Zorzi

Dynamic graphs have emerged as an appropriate model to capture the changing nature of many modern networks, such as peer-to-peer overlays and mobile ad hoc networks. Most of the recent research on dynamic networks has only addressed the…

Data Structures and Algorithms · Computer Science 2011-02-02 Oksana Denysyuk , Luis Rodrigues

Let $P$ be a set of nodes in a wireless network, where each node is modeled as a point in the plane, and let $s\in P$ be a given source node. Each node $p$ can transmit information to all other nodes within unit distance, provided $p$ is…

Computational Geometry · Computer Science 2017-05-04 Mark de Berg , Hans L. Bodlaender , Sándor Kisfaludi-Bak

This paper considers a wireless network where multiple flows are delivering status updates about their respective information sources. An end user aims to make accurate real-time estimations about the status of each information source using…

Networking and Internet Architecture · Computer Science 2019-01-31 Daojing Guo , I-Hong Hou

In the advent of large-scale multi-hop wireless technologies, such as MANET, VANET, iThings, it is of utmost importance to devise efficient distributed protocols to maintain network architecture and provide basic communication tools. One of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-19 Tomasz Jurdzinski , Dariusz R. Kowalski , Tomasz Maciejewski , Grzegorz Stachowiak

Consider n nodes communicating over an unreliable broadcast channel. Each node has a single packet that needs to be communicated to all other nodes. Time is slotted, and a time slot is long enough for each node to broadcast one packet. Each…

Information Theory · Computer Science 2021-07-23 Mark A. Graham , Ayalvadi J. Ganesh , Robert J. Piechocki

We present a novel fault localisation methodology for linear time-invariant electrical networks with infinite-dimensional edge dynamics and uncertain fault dynamics. The theory accommodates instability and also bounded propagation delays in…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Daniel Selvaratnam , Alessio Moreschini , Amritam Das , Thomas Parisini , Henrik Sandberg

Given a graph and a subset of its nodes, referred to as source nodes, the minimum broadcast problem asks for the minimum number of steps in which a signal can be transmitted from the sources to all other nodes in the graph. In each step,…

Optimization and Control · Mathematics 2023-01-10 Marika Ivanova , Dag Haugland , Bård Hennning Tvedt

This paper studies broadcasting and gossiping algorithms in random and general AdHoc networks. Our goal is not only to minimise the broadcasting and gossiping time, but also to minimise the energy consumption, which is measured in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Petra Berenbrink , Colin Cooper , Zengjian Hu

This paper investigates point-to-point information transmission over a wideband slow-fading channel, modeled as an (asymptotically) large number of independent identically distributed parallel channels, with the random channel fading…

Information Theory · Computer Science 2007-11-29 Wenyi Zhang , Urbashi Mitra

The paper investigates efficient distributed computation in dynamic networks in which the network topology changes (arbitrarily) from round to round. Our first contribution is a rigorous framework for design and analysis of distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-05-25 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan

This paper investigates point-to-point information transmission over a wideband slow-fading channel, modeled as an (asymptotically) large number of independent identically distributed parallel channels, with the random channel fading…

Information Theory · Computer Science 2007-10-02 Wenyi Zhang , Urbashi Mitra

An anonymous dynamic network is a network of indistinguishable processes whose communication links may appear or disappear unpredictably over time. Previous research has shown that deterministically computing an arbitrary function of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-25 Giuseppe A. Di Luna , Giovanni Viglietta

A wireless network in which packets are broadcast to a group of receivers through use of a random access protocol is considered in this work. The relation to previous work on networks of interacting queues is discussed and subsequently, the…

Information Theory · Computer Science 2007-11-05 Brooke Shrader , Anthony Ephremides